{
  "id": "1809.05508",
  "version": "v1",
  "published": "2018-09-14T17:21:53.000Z",
  "updated": "2018-09-14T17:21:53.000Z",
  "title": "A non-discrete space $X$ with $C_p(X)$ Menger at infinity",
  "authors": [
    "Angelo Bella",
    "Rodrigo Hernández-Gutiérrez"
  ],
  "categories": [
    "math.GN"
  ],
  "abstract": "In a paper by Bella, Tokg\\\"os and Zdomskyy it is asked whether there exists a Tychonoff space $X$ such that the remainder of $C_p(X)$ in some compactification is Menger but not $\\sigma$-compact. In this paper we prove that it is consistent that such space exists and in particular its existence follows from the existence of a Menger ultrafilter.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-09-14T17:21:53.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "54D20",
      "54A35",
      "54C35",
      "54D40",
      "54D80",
      "54H11"
    ],
    "keywords": [
      "non-discrete space",
      "tychonoff space",
      "menger ultrafilter",
      "compactification"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}